Finding the Third Proportional to 825,759 and 1,206,774

Step by Step Solution

1. Step 1: Write the proportion equation
   825,759 : 1,206,774 = 1,206,774 : x
2. Step 2: Convert to fraction form
   825,759/1,206,774 = 1,206,774/x
3. Step 3: Cross multiply
   825,759x = 1,206,774 × 1,206,774
4. Step 4: Simplify right side
   825,759x = 1,456,303,487,076
5. Step 5: Solve for x
   x = 1,456,303,487,076/825,759
6. Step 6: Final answer
   x = 1,763,593.84